30223131120 has 480 divisors, whose sum is σ = 126525235200. Its totient is φ = 6294951936.

The previous prime is 30223131101. The next prime is 30223131151. The reversal of 30223131120 is 2113132203.

30223131120 is a `hidden beast` number, since 302 + 2 + 31 + 311 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30223131093 and 30223131102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5173161 + ... + 5178999.

It is an arithmetic number, because the mean of its divisors is an integer number (263594240).

Almost surely, 2^30223131120 is an apocalyptic number.

30223131120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30223131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63262617600).

30223131120 is an abundant number, since it is smaller than the sum of its proper divisors (96302104080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30223131120 is a wasteful number, since it uses less digits than its factorization.

30223131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5957 (or 5948 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 30223131120 its reverse (2113132203), we get a palindrome (32336263323).

The spelling of 30223131120 in words is "thirty billion, two hundred twenty-three million, one hundred thirty-one thousand, one hundred twenty".